Thanks for describing this experience, and thus generating various solutions--all with the idea that if we aren't trying something and making a mistake from time to time, we aren't learning and finding a better way for our purpose. These days I am building so little that sometimes I don't even remember how I did something the last time so I think it out all over.
I'll tell you one concept I have used for years satisfactorily, not because of a mistake in fitting a reel seat but because I always know I might want to change one or realign it. I like to cant a reel seat so the guides hang exactly a 6 o'clock when the rod is held in a customary fishing position, let's say horizontal to 35 degrees angle upward. That depends on what reels I find I want to use most frequently on that rod, even what lines or what type of fishing I wind up doing most with it--upstream casts and dead drifts, downstream swings, etc. I want the guides to orient optimally to the most common rod and line angle, rather than have to be held there against rotary force of the reel wanting to hang the rod in a different position, usually a few degrees one way or the other. That is a source of fatigue for a person with nerve damage in both wrists.
Probuilders typically use max adhesives. They don't want comebacks, nor expect that the user will be making micro adjustments--having already customized as much as feasible to the user prefs--afterwards.
A hobby builder is the customizer. So anyhow, I use the mildest, most easily released glue there is. The worst that can happen--it never has--would be that the reel seat loosens when I didn't want it to, so I would have to swap rods for a day and glue it back snug that evening.
Lately I have been using craft hot melt glue for this purpose--without failure. I can fiddle with micro adjustments any time after the slightest application of heat. I can change a reel seat on a whim--for cosmetics, for better fit to match some different reels I favored with the rod, for downlock to up lock, to replace a damaged seat, and so on. Most important to me is alignment, canting as necessary to minimize the reel's rotary force against the optimum fishing position. I assemble the reel seat components the same way.
Several of these have been used in stout duty without failure.
A pair of Conolon rebuilds, both hotmelt glued--cork, reel seat components, and reel seat--got me trusting this mild adhesive in "field testing," during a spree on trout when fish after fish after fish, day after day after day, gave the tackle a workout.
A Fenwick, heavily fished since, glued up the same way.